Statistical inference of comparative generalized inverted exponential populations under joint adaptive progressive type-II censored samples

Alexandria Engineering Journal(2024)

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Abstract
Design of efficient test plans to assessing product reliability rapidly, is a critical step to obtain product reliability accurately. In this paper, we are adopted the problem of statistical inference of two generalized inverted exponential populations in a competing duration. To save the balance between the optimal test time and the number of failures needing for statistical inference, joint adaptive type-II hybrid progressive censoring scheme is applied. The model parameters are estimated with classical methods (maximum likelihood and bootstrap) for point estimate and the corresponding confidence intervals. Also, Bayes estimators of model parameters are computed under importance sample technique with the corresponding Bayes credible intervals. A real data sets are analyzed for illustrating purposes. The results are compared and assessed through Monte Carlo simulation study.
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Key words
Generalized inverted exponential,Adaptive hybrid censoring scheme,Maximum likelihood estimation,Bootstrap techniques,Bayes estimation
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